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Title: Resummation of QED radiative corrections in a strong constant crossed field

Abstract

By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $$g=\alpha\chi^{2/3}$$, where the dynamical quantum parameter $$\chi=e\sqrt{-(Fp)^2}/m^3$$ combines the particle momentum $p$ with the external field strength tensor $F$. Here we present and discuss the first non-perturbative result in this context, the resummed bubble-type polarization corrections to the electron self-energy in a constant crossed field. Our analysis confirms the relevance of the scaling parameter $g$ to the enhancement of bubble-type radiative corrections. This parameter actually represents the characteristic value of the ratio of the 1-loop polarization bubble to the photon virtuality. After an all-order resummation we identify and discuss two contributions to the self-energy with different formation regions and asymptotic behavior for $$g\gg1$$. Whereas the breakdown of perturbation theory occurs already for $$g\gtrsim1$$, the leading-order result remains dominant until the asymptotic regime $$g\gg 1$$ is reached. However, the latter is specific to processes like elastic scattering or photon emission and does not have to remain true for general higher-order QED processes.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); MEPhI Academic Excellence Project; Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”; Russian Foundation for Basic Research (RFBR); German Research Foundation (DFG)
OSTI Identifier:
1660329
Alternate Identifier(s):
OSTI ID: 1660472
Grant/Contract Number:  
AC02-76SF00515; 02.a03.21.0005; 17-12-276-1; 19-02-00643; 19-32-60084; No. 20-52-12046; 361969338
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Mironov, A. A., Meuren, S., and Fedotov, A. M. Resummation of QED radiative corrections in a strong constant crossed field. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevD.102.053005.
Mironov, A. A., Meuren, S., & Fedotov, A. M. Resummation of QED radiative corrections in a strong constant crossed field. United States. https://doi.org/10.1103/PhysRevD.102.053005
Mironov, A. A., Meuren, S., and Fedotov, A. M. Mon . "Resummation of QED radiative corrections in a strong constant crossed field". United States. https://doi.org/10.1103/PhysRevD.102.053005.
@article{osti_1660329,
title = {Resummation of QED radiative corrections in a strong constant crossed field},
author = {Mironov, A. A. and Meuren, S. and Fedotov, A. M.},
abstractNote = {By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $g=\alpha\chi^{2/3}$, where the dynamical quantum parameter $\chi=e\sqrt{-(Fp)^2}/m^3$ combines the particle momentum $p$ with the external field strength tensor $F$. Here we present and discuss the first non-perturbative result in this context, the resummed bubble-type polarization corrections to the electron self-energy in a constant crossed field. Our analysis confirms the relevance of the scaling parameter $g$ to the enhancement of bubble-type radiative corrections. This parameter actually represents the characteristic value of the ratio of the 1-loop polarization bubble to the photon virtuality. After an all-order resummation we identify and discuss two contributions to the self-energy with different formation regions and asymptotic behavior for $g\gg1$. Whereas the breakdown of perturbation theory occurs already for $g\gtrsim1$, the leading-order result remains dominant until the asymptotic regime $g\gg 1$ is reached. However, the latter is specific to processes like elastic scattering or photon emission and does not have to remain true for general higher-order QED processes.},
doi = {10.1103/PhysRevD.102.053005},
journal = {Physical Review D},
number = 5,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.102.053005

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